6144000040 has 32 divisors (see below), whose sum is σ = 13828464000. Its totient is φ = 2456806464.

The previous prime is 6144000029. The next prime is 6144000041. The reversal of 6144000040 is 400004416.

It is a junction number, because it is equal to n+sod(n) for n = 6143999981 and 6144000017.

It is not an unprimeable number, because it can be changed into a prime (6144000041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109621 + ... + 155899.

It is an arithmetic number, because the mean of its divisors is an integer number (432139500).

Almost surely, 2^6144000040 is an apocalyptic number.

It is an amenable number.

6144000040 is an abundant number, since it is smaller than the sum of its proper divisors (7684463960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6144000040 is a wasteful number, since it uses less digits than its factorization.

6144000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49609 (or 49605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 6144000040 is about 78383.6720242169. The cubic root of 6144000040 is about 1831.5427920600.

Adding to 6144000040 its reverse (400004416), we get a palindrome (6544004456).

The spelling of 6144000040 in words is "six billion, one hundred forty-four million, forty", and thus it is an aban number.